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## Homework Statement

1. A Turbo Booster toy that launches a 60-gram “insect” glider projectile by compressing a helical spring and then releasing the spring when the trigger is pulled. When pointed upward the glider should ascend approximately 8 m before falling. The launcher is made with carbon steel wire, with a diameter of d=1.1 mm. The coil diameter is D=10 mm.

**Calculate the number of turns N in the spring such that it would provide the necessary energy to the glider**. The total working deflection is x=150 mm with a clash allowance of 10%.

## Homework Equations

I need to used conservation of energy to find initial velocity and spring constant I believe. Final velocity is 0. Not sure how to find the number of turns in the spring though.

KE=1/2*m*V^2

PE=m*g*h

## The Attempt at a Solution

g=9.81 m/s^2 gravity

d=1.1 mm wire diameter

D=10 mm col diameter

m=60 gm mass of toy

x=150 mm working deflection

dist= 8 m distance traveled

C=D/d=10/1.1= 9.091 spring index

G=11.2*10^6 psi (for carbon steel)

k=?

V=?

somehow need number of turns

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